SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS

Abstract

First, we establish the parametrized integral identity and its improved version via Atangana–Baleanu (AB) fractional integrals. For the focus of this paper, we utilize the resulting identities to derive a series of Simpson-like integral inequalities for mappings whose second-order derivatives belong to the [Formula: see text]-convexity and [Formula: see text]-concavity in absolute value. And a couple of outcomes, concerning the Simpson-like quadrature formulas, the [Formula: see text]-digamma functions and the modified Bessel functions, are introduced as applications separately in the end.